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When I use the ContourPlot I prefer to use ContourLabels rather than using the PlotLegends. However the labels are often displayed very close to the frame so it sometimes can be hard to read them.

Example:

 ContourPlot[
    Sin[x^2 + 2 y],
    {x, 0, 2}, {y, 0, 2},
    Contours -> 5,
    ContourLabels -> True
 ]

example

As you can see some numbers are placed very close to the axes. Since there is enough space in the plot where they could be placed instead I would prefer to have them a little further away from the frame.

Is there a way of achieving this? Or would I need to place those labels manually?

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Clear["Global`*"]

f[x_, y_] = Sin[x^2 + 2 y];

cp = ContourPlot[
   f[x, y], {x, 0, 2}, {y, 0, 2}, Contours -> 5];

Get the data points used for the contours in cp

data = Cases[cp, GraphicsComplex[data_List, __] :> data, Infinity][[1]];

Every time the following is executed it will randomly choose a placement for the labels (excluding values very near the edges). If the labels are still too close to the edges or those for adjacent contours overlap, you can execute again to get a different placement.

Show[cp,
 Epilog ->
  {Text[Style[Round[f @@ #, 0.01] /. (0.) :> 0,
       12, Bold], #] & /@ 
    data[[Cases[cp, Line[pts__] :> RandomChoice[pts[[5 ;; -5]]], Infinity]]]}]

enter image description here

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  • $\begingroup$ By immediately accepting an answer you may discourage other -- potentially better -- solutions. You should give the community more time before accepting an answer. You should still immediately upvote any answer that you find useful. $\endgroup$ – Bob Hanlon Aug 30 '20 at 16:09
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This placement problem of contour labels goes back at least to version 9. A comment I received from WRI in 2014:

The problem with ContourLabels is an existing one, it is currently being worked on by our developers. I understand that this is an inconvenience and the workarounds that you suggested are also some of the tricks that we suggest users to do to avoid labels being truncated. Other than these workarounds you can try the value of ContourLabels to be functions of the form f[x,y,z], that is, make custom labels. See under Details section of documentation: http://reference.wolfram.com/mathematica/ref/ContourLabels.html

The two workarounds suggested are

  1. increase PlotRangePadding, to give space around the plot for labels at the edges, and
  2. manually position the labels at the edge using the ContourLabels option with functions, as WRI suggested
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